Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10336f |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2811392 = 29 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 0 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,1224] |
[a1,a2,a3,a4,a6] |
Generators |
[435:1144:27] |
Generators of the group modulo torsion |
j |
1953125000/5491 |
j-invariant |
L |
6.1208821582116 |
L(r)(E,1)/r! |
Ω |
2.5563790308138 |
Real period |
R |
4.7887125378767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10336l2 20672p2 93024bb2 |
Quadratic twists by: -4 8 -3 |